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Finding the Fourth Proportional to 922,629.76, 1,384,175.04 and 257,776

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Solution

The fourth proportional to 922,629.76, 1,384,175.04 and 257,776 is: 386,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,629.76 : 1,384,175.04 = 257,776 : x
  2. Step 2: Convert to fraction form
    922,629.76/1,384,175.04 = 257,776/x
  3. Step 3: Cross multiply
    922,629.76x = 1,384,175.04 × 257,776
  4. Step 4: Simplify right side
    922,629.76x = 356,807,105,111.04
  5. Step 5: Solve for x
    x = 356,807,105,111.04/922,629.76
  6. Step 6: Final answer
    x = 386,728.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.